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Finding the Fourth Proportional to 462,782.92, 693,999.18 and 252,306.28

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Solution

The fourth proportional to 462,782.92, 693,999.18 and 252,306.28 is: 378,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,782.92 : 693,999.18 = 252,306.28 : x
  2. Step 2: Convert to fraction form
    462,782.92/693,999.18 = 252,306.28/x
  3. Step 3: Cross multiply
    462,782.92x = 693,999.18 × 252,306.28
  4. Step 4: Simplify right side
    462,782.92x = 175,100,351,428.85
  5. Step 5: Solve for x
    x = 175,100,351,428.85/462,782.92
  6. Step 6: Final answer
    x = 378,363.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.